If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use $(\times 1)$ machines.

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Solution

Total work of the single machine $= 100$
We have to find a hook-up of prime base number machine that will do the same work as the given stretching machine.
So, let's find prime factors of $100$
$\Rightarrow 100 = 25 \times 4 = 5^{2} \times 2^{2}$
Where, $5$ and $2$ are prime factors and their power is also not equal to $1$
So, machines with base $5$ and $2$ and power of both $2$ can be used to hook up to produce same work as that of machine $(\times 100)$

Hence, prime base machines hooked up are $(\times 5^{2})$ and $(\times 2^{2})$

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If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (×1) machines.

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use $(\times 1)$ machines.